Chapter 8 Similarity

Section 6 Proportions and Similar Triangles

GOAL 1: Using Proportionality Theorems

Example 1: Finding the Length of a Segment In the diagram, AB || ED, BD = 8, DC = 4, and AE = 12. What is the length of EC?

Example 2: Determining Parallels Given the diagram, determine whether MN || GH.

Example 3: Using Proportionality Theorems In the diagram, <1 ≅ <2 ≅ <3, and PQ = 9, QR = 15, and ST = 11. What is the length of TU?

Example 4: Using Proportionality Theorems In the diagram, <CAD ≅ <DAB. Use the given side lengths to find the length of DC.

GOAL 2: Using Proportionality Theorems in Real Life Example 5: Finding the Length of a Segment

Example 6: Finding Segment Lengths In the diagram KL || MN Example 6: Finding Segment Lengths In the diagram KL || MN. Find the values of the variables.

EXIT SLIP